How much money would have to be placed in an account each year to replace a machine costing $20,000 today at the end of 10 years if the fund yields 9% annual interest rate compounded yearly and if the cost of the machine is assumed to increase at 5% annually for the next 10 years? Assume the salvage value is zero.

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

You are a manager at asda. you have been given the demand data for the past 10 weeks for swim rings for children. you decide to run multiple types of forecasting methods on the data to see which gives you the best forecast. if you were to use exponential smoothing with alpha =.8, what would be your forecast for week 22? (the forecast for week 21 was 1277.) week demand 12 1317 13 1307 14 1261 15 1258 16 1267 17 1256 18 1268 19 1277 20 1277 21 1297

Companies under market structures are independent